Pre-Dual of Fofana’s Spaces

Abstract

The purpose of this paper is to characterize the pre-dual of the spaces introduced by I. Fofana on the basis of Wiener amalgam spaces. These spaces have a specific dilation behaviour similar to the spaces L α ( R d ) . The characterization of the pre-dual will be based on the idea of minimal invariant spaces (with respect to such a group of dilation operators).